Revert gamemode being its own Object to only being a id, also added websocket startGame integration

src/lib/websocketClient.svelte.ts

@@ -9,6 +9,7 @@ export class WebsocketClient {
     selectedPlaylistId: ''
   });
   socket: WebSocket | null = null;
+  onGameStart: () => void = () => {};
 
   connect(url: string): void {
     if (this.socket) this.socket.close();
@@ -50,6 +51,10 @@ export class WebsocketClient {
           case 'settingsUpdate':
             this.gameSettings = message.settings;
             break;
+
+          case 'startGame':
+            this.onGameStart()
+            break;
         }
       } catch (error) {
         console.error('Failed to parse WebSocket message:', error);

src/routes/game/+page.svelte

@@ -13,7 +13,6 @@
 
 	// Game $state
 	let currentPlayerId = $state<string>('test1');
-	let cards = $state<SongCard[]>([]);
 	let placedCards = $state<SongCard[]>([]);
 	let currentCard = $state<SongCard | null>(null);
 	let dragPosition = $state<{ x: number; y: number } | null>(null);
@@ -216,7 +215,6 @@
 	onMount(() => {
 		// Set up initial game $state
 		placedCards = [mockCards[0], mockCards[1]];
-		cards = mockCards.slice(2);
 		currentCard = mockCards[3];
 
 		// Set up event listeners for drag and drop

src/routes/lobby/[id]/+page.server.ts

@@ -1,7 +1,6 @@
 import { redirect } from '@sveltejs/kit';
 import type { PageServerLoad } from './$types';
-import type { User } from '../../../app';
-import type { Playlist, Settings } from '$lib/types';
+import type { User, Playlist, Settings } from '../../../app';
 import { env } from '$env/dynamic/public';
 
 export const load: PageServerLoad = async ({ params, fetch, locals: { user } }) => {

src/routes/lobby/[id]/+page.svelte

@@ -14,6 +14,11 @@
 
 	let { data }: PageProps = $props();
 
+	wsClient.onGameStart = () => {
+		console.log('Game starting');
+		goto('/game');
+	};
+
 	let lobbyCode = $state(data.lobby.id);
 	let isHost = $state(data.user.email === data.lobby.host.email); // Assume current user is host for this example
 
@@ -39,7 +44,7 @@
 			type: 'startGame',
 			settings: wsClient.gameSettings
 		});
-		// In a real app, this would navigate to the game screen
+		// goto('/game');
 	}
 
 	function copyLobbyCode() {
@@ -49,12 +54,10 @@
 
 	function leaveLobby() {
 		wsClient.sendMessage({
-			type: 'leaveGame',
-			player: data.user.email
+			type: 'leaveGame'
 		});
 		wsClient.disconnect();
 		goto('/');
-		// In a real app, you'd likely redirect to another page here
 	}
 
 	onMount(() => {
@@ -70,7 +73,6 @@
 
 	onDestroy(() => {
 		// Clean up WebSocket connection when component is destroyed
-		leaveLobby();
 	});
 </script>